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    Convergent series

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    Use
    1) sum of (x ^ (n +1))/ (n +1 ) converges uniformly
    on [-1, 0]

    2) sum of x ^ n converges uniformly on (-1, 0]

    3) sum of x ^ n = 1/(1-x)

    to show that ln 2 = 1 - 1/2 + 1/3 - 1/4 ...

    © BrainMass Inc. brainmass.com March 4, 2021, 5:58 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/convergent-series-natural-log-series-21352

    Solution Preview

    Solution in attached file (soln_21352.doc)

    Problem:

    ln 2 = 1 - 1/2 +1/3 - 1/4 ...

    use ...

    Solution Summary

    This solution looks at the convergent natural log series.

    $2.19

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